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Finding the Fourth Proportional to 380.64, 570.77 and 120.56

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Solution

The fourth proportional to 380.64, 570.77 and 120.56 is: 180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 570.77 = 120.56 : x
  2. Step 2: Convert to fraction form
    380.64/570.77 = 120.56/x
  3. Step 3: Cross multiply
    380.64x = 570.77 × 120.56
  4. Step 4: Simplify right side
    380.64x = 68,808.57
  5. Step 5: Solve for x
    x = 68,808.57/380.64
  6. Step 6: Final answer
    x = 180.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.